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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 335 · 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. 1.333710 ÷ 897 =
  2. 2.921335 ÷ 997 =
  3. 3.553630 ÷ 897 =
  4. 4.733004 ÷ 997 =
  5. 5.22128 ÷ 88 =
  6. 6.9746 ÷ 8 =
  7. 7.60631 ÷ 88 =
  8. 8.813321 ÷ 989 =
  9. 9.739000 ÷ 988 =
  10. 10.8900 ÷ 96 =
  11. 11.8294 ÷ 8 =
  12. 12.52413 ÷ 89 =
  13. 13.699674 ÷ 989 =
  14. 14.802171 ÷ 988 =
  15. 15.50497 ÷ 89 =
  16. 16.7111 ÷ 8 =
  17. 17.78134 ÷ 89 =
  18. 18.425421 ÷ 989 =
  19. 19.102432 ÷ 997 =
  20. 20.98151 ÷ 98 =
  21. 21.941903 ÷ 989 =
  22. 22.558802 ÷ 897 =
  23. 23.505412 ÷ 998 =
  24. 24.6219 ÷ 96 =
  25. 25.24799 ÷ 96 =
  26. 26.460748 ÷ 997 =
  27. 27.15198 ÷ 97 =
  28. 28.538638 ÷ 998 =
  29. 29.39568 ÷ 98 =
  30. 30.51673 ÷ 98 =
  31. 31.72221 ÷ 88 =
  32. 32.87666 ÷ 97 =
  33. 33.19691 ÷ 88 =
  34. 34.23193 ÷ 98 =
  35. 35.65545 ÷ 97 =
  36. 36.237927 ÷ 897 =
  37. 37.71650 ÷ 988 =
  38. 38.350927 ÷ 989 =
  39. 39.58291 ÷ 97 =
  40. 40.8094 ÷ 88 =

Answer key

  1. 372 rem 26
  2. 924 rem 107
  3. 617 rem 181
  4. 735 rem 209
  5. 251 rem 40
  6. 1218 rem 2
  7. 688 rem 87
  8. 822 rem 363
  9. 747 rem 964
  10. 92 rem 68
  11. 1036 rem 6
  12. 588 rem 81
  13. 707 rem 451
  14. 811 rem 903
  15. 567 rem 34
  16. 888 rem 7
  17. 877 rem 81
  18. 430 rem 151
  19. 102 rem 738
  20. 1001 rem 53
  21. 952 rem 375
  22. 622 rem 868
  23. 506 rem 424
  24. 64 rem 75
  25. 258 rem 31
  26. 462 rem 134
  27. 156 rem 66
  28. 539 rem 716
  29. 403 rem 74
  30. 527 rem 27
  31. 820 rem 61
  32. 903 rem 75
  33. 223 rem 67
  34. 236 rem 65
  35. 675 rem 70
  36. 265 rem 222
  37. 72 rem 514
  38. 354 rem 821
  39. 600 rem 91
  40. 91 rem 86

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