When a chicken is “quartered,” it is actually cut up into more than four pieces. In addition to the two half-breasts and two thighs with the drumsticks attached, there is also the back and the two wings. Thus the chicken is really cut into seven pieces instead of four. The back contains so little meat that it’s best used for making broth or cut in half or thirds and added to the sauté pan with the rest of the chicken to keep the bottom of the pan covered (to prevent it from burning in those areas left uncovered) or to augment the flavor of an eventual soup. The wings, while meatier, can be used in the same way. In most soup recipes calling for quartered chicken, I recommend removing the meat from the bone after the chicken has cooked to make the soup easier to eat. However, in some cases, you may want to leave the chicken on the bone and cut the quartered chicken into smaller pieces to make sure every serving of soup has a piece of chicken in it. You can convert four pieces into six simply by cutting the drumsticks away from the rest of the thighs and you can cut the half-breasts in half again so that you end up with eight pieces in addition to the wings and back. To quarter a chicken, pull any large chunks of fat out of the inside of the chicken (I discard them but they can be rendered and used as cooking fat). Turn the chicken breastside down and pull away a wing. Cut the wing oft where it joins the body. Repeat with the second wing. Fold the wing tips under the thickest part of the wing, forming a kind of triangle, so the wings hold their shape during cooking. Turn the chicken over and pull one of the thighs forward. Cut into the loose skin between the thigh and breast, cutting toward the thigh (so enough skin is left to cover the breast) and then slide the knife down to the joint where the thigh joins the back. Fold the thigh back away from the chicken and snap the ball out of the joint, dislocating the thigh. Slide the knife—I use a medium chef’s knife—along the back, following its contours so you leave any meat attached to the thigh instead of the back, and detach the thigh from the back. Repeat with the second thigh. Cut the back away from the double breast by holding the chicken on end so the larger opening is facing upward. With a large chef’s knife, cut through the rib cage all the way down to the bottom and open up the chicken, separating the back from the breast. Cut the back away from the double breast. Cut the double breast in half by resting it, skin side down, on a cutting board and forcing a knife into the bone in the middle of the two halves. Pull the knife toward you while pressing down. Turn the breast around and repeat in the other direction to separate the two halves. You should now have two thighs (with drumsticks), the back, two wings, and two half-breasts.