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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 733 · 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. 1.28008 ÷ 89 =
  2. 2.397355 ÷ 988 =
  3. 3.8933 ÷ 8 =
  4. 4.10647 ÷ 97 =
  5. 5.55564 ÷ 89 =
  6. 6.82992 ÷ 98 =
  7. 7.62362 ÷ 96 =
  8. 8.18968 ÷ 89 =
  9. 9.7529 ÷ 96 =
  10. 10.55937 ÷ 89 =
  11. 11.91451 ÷ 89 =
  12. 12.820461 ÷ 989 =
  13. 13.70178 ÷ 96 =
  14. 14.474643 ÷ 988 =
  15. 15.72005 ÷ 89 =
  16. 16.221521 ÷ 989 =
  17. 17.716161 ÷ 989 =
  18. 18.45497 ÷ 98 =
  19. 19.4868 ÷ 8 =
  20. 20.945613 ÷ 998 =
  21. 21.27307 ÷ 97 =
  22. 22.383817 ÷ 989 =
  23. 23.73266 ÷ 89 =
  24. 24.67014 ÷ 97 =
  25. 25.389 ÷ 8 =
  26. 26.34976 ÷ 96 =
  27. 27.21483 ÷ 97 =
  28. 28.59024 ÷ 88 =
  29. 29.53562 ÷ 88 =
  30. 30.244509 ÷ 997 =
  31. 31.602296 ÷ 997 =
  32. 32.46012 ÷ 98 =
  33. 33.282537 ÷ 988 =
  34. 34.137733 ÷ 989 =
  35. 35.291845 ÷ 897 =
  36. 36.2592 ÷ 8 =
  37. 37.81463 ÷ 96 =
  38. 38.33009 ÷ 98 =
  39. 39.44858 ÷ 89 =
  40. 40.20233 ÷ 96 =

Answer key

  1. 314 rem 62
  2. 402 rem 179
  3. 1116 rem 5
  4. 109 rem 74
  5. 624 rem 28
  6. 846 rem 84
  7. 649 rem 58
  8. 213 rem 11
  9. 78 rem 41
  10. 628 rem 45
  11. 1027 rem 48
  12. 829 rem 580
  13. 731 rem 2
  14. 480 rem 403
  15. 809 rem 4
  16. 223 rem 974
  17. 724 rem 125
  18. 464 rem 25
  19. 608 rem 4
  20. 947 rem 507
  21. 281 rem 50
  22. 388 rem 85
  23. 823 rem 19
  24. 690 rem 84
  25. 48 rem 5
  26. 364 rem 32
  27. 221 rem 46
  28. 670 rem 64
  29. 608 rem 58
  30. 245 rem 244
  31. 604 rem 108
  32. 469 rem 50
  33. 285 rem 957
  34. 139 rem 262
  35. 325 rem 320
  36. 324 rem 0
  37. 848 rem 55
  38. 336 rem 81
  39. 504 rem 2
  40. 210 rem 73

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