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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 980 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.19027 ÷ 97 =
  2. 2.19870 ÷ 98 =
  3. 3.68557 ÷ 96 =
  4. 4.7951 ÷ 8 =
  5. 5.20049 ÷ 98 =
  6. 6.70171 ÷ 96 =
  7. 7.61832 ÷ 88 =
  8. 8.314756 ÷ 997 =
  9. 9.495556 ÷ 989 =
  10. 10.151428 ÷ 997 =
  11. 11.44554 ÷ 88 =
  12. 12.61363 ÷ 988 =
  13. 13.747978 ÷ 989 =
  14. 14.2672 ÷ 97 =
  15. 15.325403 ÷ 998 =
  16. 16.381685 ÷ 988 =
  17. 17.243321 ÷ 989 =
  18. 18.628040 ÷ 988 =
  19. 19.107521 ÷ 989 =
  20. 20.41848 ÷ 98 =
  21. 21.2288 ÷ 8 =
  22. 22.304015 ÷ 897 =
  23. 23.15719 ÷ 88 =
  24. 24.895829 ÷ 997 =
  25. 25.9463 ÷ 89 =
  26. 26.46209 ÷ 96 =
  27. 27.26176 ÷ 97 =
  28. 28.734347 ÷ 997 =
  29. 29.7952 ÷ 8 =
  30. 30.45040 ÷ 96 =
  31. 31.57847 ÷ 98 =
  32. 32.284799 ÷ 997 =
  33. 33.6055 ÷ 89 =
  34. 34.75457 ÷ 88 =
  35. 35.71506 ÷ 88 =
  36. 36.8678 ÷ 97 =
  37. 37.3786 ÷ 96 =
  38. 38.268104 ÷ 897 =
  39. 39.84270 ÷ 98 =
  40. 40.771116 ÷ 997 =

Answer key

  1. 196 rem 15
  2. 202 rem 74
  3. 714 rem 13
  4. 993 rem 7
  5. 204 rem 57
  6. 730 rem 91
  7. 702 rem 56
  8. 315 rem 701
  9. 501 rem 67
  10. 151 rem 881
  11. 506 rem 26
  12. 62 rem 107
  13. 756 rem 294
  14. 27 rem 53
  15. 326 rem 55
  16. 386 rem 317
  17. 246 rem 27
  18. 635 rem 660
  19. 108 rem 709
  20. 427 rem 2
  21. 286 rem 0
  22. 338 rem 829
  23. 178 rem 55
  24. 898 rem 523
  25. 106 rem 29
  26. 481 rem 33
  27. 269 rem 83
  28. 736 rem 555
  29. 994 rem 0
  30. 469 rem 16
  31. 590 rem 27
  32. 285 rem 654
  33. 68 rem 3
  34. 857 rem 41
  35. 812 rem 50
  36. 89 rem 45
  37. 39 rem 42
  38. 298 rem 798
  39. 859 rem 88
  40. 773 rem 435

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