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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 473 · 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. 1.528465 ÷ 989 =
  2. 2.319702 ÷ 997 =
  3. 3.38995 ÷ 89 =
  4. 4.222821 ÷ 897 =
  5. 5.19436 ÷ 96 =
  6. 6.11810 ÷ 98 =
  7. 7.13942 ÷ 98 =
  8. 8.654518 ÷ 989 =
  9. 9.5705 ÷ 8 =
  10. 10.668315 ÷ 897 =
  11. 11.5317 ÷ 8 =
  12. 12.38399 ÷ 89 =
  13. 13.94895 ÷ 96 =
  14. 14.718002 ÷ 897 =
  15. 15.47425 ÷ 97 =
  16. 16.71407 ÷ 89 =
  17. 17.917 ÷ 8 =
  18. 18.70890 ÷ 97 =
  19. 19.514795 ÷ 897 =
  20. 20.56745 ÷ 88 =
  21. 21.86618 ÷ 89 =
  22. 22.78117 ÷ 97 =
  23. 23.421614 ÷ 989 =
  24. 24.43441 ÷ 997 =
  25. 25.7641 ÷ 8 =
  26. 26.81230 ÷ 97 =
  27. 27.541530 ÷ 997 =
  28. 28.48078 ÷ 988 =
  29. 29.70670 ÷ 96 =
  30. 30.5528 ÷ 8 =
  31. 31.38788 ÷ 89 =
  32. 32.6630 ÷ 8 =
  33. 33.52627 ÷ 88 =
  34. 34.582401 ÷ 989 =
  35. 35.58090 ÷ 88 =
  36. 36.69232 ÷ 97 =
  37. 37.4683 ÷ 8 =
  38. 38.390454 ÷ 988 =
  39. 39.904404 ÷ 997 =
  40. 40.408337 ÷ 897 =

Answer key

  1. 534 rem 339
  2. 320 rem 662
  3. 438 rem 13
  4. 248 rem 365
  5. 202 rem 44
  6. 120 rem 50
  7. 142 rem 26
  8. 661 rem 789
  9. 713 rem 1
  10. 745 rem 50
  11. 664 rem 5
  12. 431 rem 40
  13. 988 rem 47
  14. 800 rem 402
  15. 488 rem 89
  16. 802 rem 29
  17. 114 rem 5
  18. 730 rem 80
  19. 573 rem 814
  20. 644 rem 73
  21. 973 rem 21
  22. 805 rem 32
  23. 426 rem 300
  24. 43 rem 570
  25. 955 rem 1
  26. 837 rem 41
  27. 543 rem 159
  28. 48 rem 654
  29. 736 rem 14
  30. 691 rem 0
  31. 435 rem 73
  32. 828 rem 6
  33. 598 rem 3
  34. 588 rem 869
  35. 660 rem 10
  36. 713 rem 71
  37. 585 rem 3
  38. 395 rem 194
  39. 907 rem 125
  40. 455 rem 202

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