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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 122 · 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. 1.12163 ÷ 97 =
  2. 2.8374 ÷ 88 =
  3. 3.70610 ÷ 98 =
  4. 4.38021 ÷ 97 =
  5. 5.43261 ÷ 96 =
  6. 6.15175 ÷ 88 =
  7. 7.356582 ÷ 998 =
  8. 8.159613 ÷ 997 =
  9. 9.626938 ÷ 988 =
  10. 10.90634 ÷ 96 =
  11. 11.207592 ÷ 989 =
  12. 12.537212 ÷ 988 =
  13. 13.8737 ÷ 8 =
  14. 14.25235 ÷ 88 =
  15. 15.40187 ÷ 96 =
  16. 16.756691 ÷ 989 =
  17. 17.517154 ÷ 997 =
  18. 18.3831 ÷ 8 =
  19. 19.171254 ÷ 989 =
  20. 20.54690 ÷ 88 =
  21. 21.684580 ÷ 897 =
  22. 22.2294 ÷ 98 =
  23. 23.3853 ÷ 8 =
  24. 24.487705 ÷ 998 =
  25. 25.76500 ÷ 96 =
  26. 26.839504 ÷ 998 =
  27. 27.8521 ÷ 8 =
  28. 28.877594 ÷ 998 =
  29. 29.2394 ÷ 8 =
  30. 30.72598 ÷ 89 =
  31. 31.1950 ÷ 97 =
  32. 32.10197 ÷ 89 =
  33. 33.25101 ÷ 89 =
  34. 34.86620 ÷ 98 =
  35. 35.853939 ÷ 989 =
  36. 36.250115 ÷ 989 =
  37. 37.28904 ÷ 98 =
  38. 38.58194 ÷ 88 =
  39. 39.5040 ÷ 8 =
  40. 40.93295 ÷ 88 =

Answer key

  1. 125 rem 38
  2. 95 rem 14
  3. 720 rem 50
  4. 391 rem 94
  5. 450 rem 61
  6. 172 rem 39
  7. 357 rem 296
  8. 160 rem 93
  9. 634 rem 546
  10. 944 rem 10
  11. 209 rem 891
  12. 543 rem 728
  13. 1092 rem 1
  14. 286 rem 67
  15. 418 rem 59
  16. 765 rem 106
  17. 518 rem 708
  18. 478 rem 7
  19. 173 rem 157
  20. 621 rem 42
  21. 763 rem 169
  22. 23 rem 40
  23. 481 rem 5
  24. 488 rem 681
  25. 796 rem 84
  26. 841 rem 186
  27. 1065 rem 1
  28. 879 rem 352
  29. 299 rem 2
  30. 815 rem 63
  31. 20 rem 10
  32. 114 rem 51
  33. 282 rem 3
  34. 883 rem 86
  35. 863 rem 432
  36. 252 rem 887
  37. 294 rem 92
  38. 661 rem 26
  39. 630 rem 0
  40. 1060 rem 15

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