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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 571 · 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. 1.23237 ÷ 88 =
  2. 2.723629 ÷ 988 =
  3. 3.735650 ÷ 998 =
  4. 4.87213 ÷ 97 =
  5. 5.888531 ÷ 997 =
  6. 6.94957 ÷ 89 =
  7. 7.8762 ÷ 8 =
  8. 8.23739 ÷ 96 =
  9. 9.9187 ÷ 96 =
  10. 10.65684 ÷ 96 =
  11. 11.71365 ÷ 988 =
  12. 12.920558 ÷ 997 =
  13. 13.40365 ÷ 98 =
  14. 14.216601 ÷ 997 =
  15. 15.89814 ÷ 96 =
  16. 16.499211 ÷ 989 =
  17. 17.193353 ÷ 988 =
  18. 18.401583 ÷ 997 =
  19. 19.40336 ÷ 89 =
  20. 20.533801 ÷ 998 =
  21. 21.62557 ÷ 96 =
  22. 22.964933 ÷ 989 =
  23. 23.717255 ÷ 989 =
  24. 24.21209 ÷ 98 =
  25. 25.10217 ÷ 97 =
  26. 26.22239 ÷ 98 =
  27. 27.34268 ÷ 96 =
  28. 28.1350 ÷ 8 =
  29. 29.98047 ÷ 88 =
  30. 30.524431 ÷ 989 =
  31. 31.10511 ÷ 89 =
  32. 32.71541 ÷ 998 =
  33. 33.1449 ÷ 88 =
  34. 34.2646 ÷ 8 =
  35. 35.77903 ÷ 96 =
  36. 36.395719 ÷ 897 =
  37. 37.78015 ÷ 88 =
  38. 38.903612 ÷ 897 =
  39. 39.991736 ÷ 998 =
  40. 40.645350 ÷ 997 =

Answer key

  1. 264 rem 5
  2. 732 rem 413
  3. 737 rem 124
  4. 899 rem 10
  5. 891 rem 204
  6. 1066 rem 83
  7. 1095 rem 2
  8. 247 rem 27
  9. 95 rem 67
  10. 684 rem 20
  11. 72 rem 229
  12. 923 rem 327
  13. 411 rem 87
  14. 217 rem 252
  15. 935 rem 54
  16. 504 rem 755
  17. 195 rem 693
  18. 402 rem 789
  19. 453 rem 19
  20. 534 rem 869
  21. 651 rem 61
  22. 975 rem 658
  23. 725 rem 230
  24. 216 rem 41
  25. 105 rem 32
  26. 226 rem 91
  27. 356 rem 92
  28. 168 rem 6
  29. 1114 rem 15
  30. 530 rem 261
  31. 118 rem 9
  32. 71 rem 683
  33. 16 rem 41
  34. 330 rem 6
  35. 811 rem 47
  36. 441 rem 142
  37. 886 rem 47
  38. 1007 rem 333
  39. 993 rem 722
  40. 647 rem 291

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