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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 877 · 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. 1.31472 ÷ 97 =
  2. 2.98084 ÷ 96 =
  3. 3.838034 ÷ 897 =
  4. 4.43076 ÷ 97 =
  5. 5.34602 ÷ 997 =
  6. 6.582564 ÷ 897 =
  7. 7.1167 ÷ 98 =
  8. 8.2108 ÷ 98 =
  9. 9.575677 ÷ 988 =
  10. 10.14850 ÷ 98 =
  11. 11.59522 ÷ 97 =
  12. 12.51995 ÷ 88 =
  13. 13.41533 ÷ 98 =
  14. 14.11458 ÷ 88 =
  15. 15.91513 ÷ 89 =
  16. 16.80867 ÷ 98 =
  17. 17.59694 ÷ 89 =
  18. 18.388652 ÷ 897 =
  19. 19.707581 ÷ 989 =
  20. 20.89151 ÷ 96 =
  21. 21.60227 ÷ 96 =
  22. 22.503646 ÷ 988 =
  23. 23.781047 ÷ 998 =
  24. 24.4362 ÷ 8 =
  25. 25.78440 ÷ 97 =
  26. 26.85403 ÷ 89 =
  27. 27.546832 ÷ 897 =
  28. 28.78683 ÷ 89 =
  29. 29.4425 ÷ 98 =
  30. 30.3351 ÷ 8 =
  31. 31.57235 ÷ 96 =
  32. 32.7269 ÷ 97 =
  33. 33.87818 ÷ 97 =
  34. 34.631370 ÷ 997 =
  35. 35.69194 ÷ 96 =
  36. 36.19896 ÷ 88 =
  37. 37.22582 ÷ 89 =
  38. 38.845387 ÷ 997 =
  39. 39.645687 ÷ 897 =
  40. 40.13825 ÷ 96 =

Answer key

  1. 324 rem 44
  2. 1021 rem 68
  3. 934 rem 236
  4. 444 rem 8
  5. 34 rem 704
  6. 649 rem 411
  7. 11 rem 89
  8. 21 rem 50
  9. 582 rem 661
  10. 151 rem 52
  11. 613 rem 61
  12. 590 rem 75
  13. 423 rem 79
  14. 130 rem 18
  15. 1028 rem 21
  16. 825 rem 17
  17. 670 rem 64
  18. 433 rem 251
  19. 715 rem 446
  20. 928 rem 63
  21. 627 rem 35
  22. 509 rem 754
  23. 782 rem 611
  24. 545 rem 2
  25. 808 rem 64
  26. 959 rem 52
  27. 609 rem 559
  28. 884 rem 7
  29. 45 rem 15
  30. 418 rem 7
  31. 596 rem 19
  32. 74 rem 91
  33. 905 rem 33
  34. 633 rem 269
  35. 720 rem 74
  36. 226 rem 8
  37. 253 rem 65
  38. 847 rem 928
  39. 719 rem 744
  40. 144 rem 1

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