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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 171 · 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. 1.25020 ÷ 98 =
  2. 2.20967 ÷ 88 =
  3. 3.54832 ÷ 98 =
  4. 4.82859 ÷ 98 =
  5. 5.203730 ÷ 997 =
  6. 6.167517 ÷ 897 =
  7. 7.836562 ÷ 989 =
  8. 8.433320 ÷ 997 =
  9. 9.56293 ÷ 98 =
  10. 10.15306 ÷ 88 =
  11. 11.568449 ÷ 989 =
  12. 12.426632 ÷ 897 =
  13. 13.268603 ÷ 997 =
  14. 14.32450 ÷ 89 =
  15. 15.58616 ÷ 98 =
  16. 16.342728 ÷ 989 =
  17. 17.333855 ÷ 998 =
  18. 18.71475 ÷ 96 =
  19. 19.54237 ÷ 988 =
  20. 20.76530 ÷ 98 =
  21. 21.27667 ÷ 88 =
  22. 22.599618 ÷ 897 =
  23. 23.34306 ÷ 89 =
  24. 24.580816 ÷ 897 =
  25. 25.54419 ÷ 97 =
  26. 26.19205 ÷ 98 =
  27. 27.439801 ÷ 897 =
  28. 28.145524 ÷ 897 =
  29. 29.985527 ÷ 988 =
  30. 30.7397 ÷ 8 =
  31. 31.15199 ÷ 98 =
  32. 32.230000 ÷ 997 =
  33. 33.944819 ÷ 897 =
  34. 34.18535 ÷ 97 =
  35. 35.69931 ÷ 97 =
  36. 36.693867 ÷ 988 =
  37. 37.693365 ÷ 998 =
  38. 38.664 ÷ 8 =
  39. 39.27708 ÷ 988 =
  40. 40.696114 ÷ 897 =

Answer key

  1. 255 rem 30
  2. 238 rem 23
  3. 559 rem 50
  4. 845 rem 49
  5. 204 rem 342
  6. 186 rem 675
  7. 845 rem 857
  8. 434 rem 622
  9. 574 rem 41
  10. 173 rem 82
  11. 574 rem 763
  12. 475 rem 557
  13. 269 rem 410
  14. 364 rem 54
  15. 598 rem 12
  16. 346 rem 534
  17. 334 rem 523
  18. 744 rem 51
  19. 54 rem 885
  20. 780 rem 90
  21. 314 rem 35
  22. 668 rem 422
  23. 385 rem 41
  24. 647 rem 457
  25. 561 rem 2
  26. 195 rem 95
  27. 490 rem 271
  28. 162 rem 210
  29. 997 rem 491
  30. 924 rem 5
  31. 155 rem 9
  32. 230 rem 690
  33. 1053 rem 278
  34. 191 rem 8
  35. 720 rem 91
  36. 702 rem 291
  37. 694 rem 753
  38. 83 rem 0
  39. 28 rem 44
  40. 776 rem 42

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