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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 957 · 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. 1.14830 ÷ 97 =
  2. 2.912938 ÷ 988 =
  3. 3.201201 ÷ 988 =
  4. 4.85379 ÷ 89 =
  5. 5.401384 ÷ 997 =
  6. 6.547680 ÷ 988 =
  7. 7.4583 ÷ 97 =
  8. 8.17215 ÷ 96 =
  9. 9.62845 ÷ 97 =
  10. 10.74133 ÷ 97 =
  11. 11.73920 ÷ 97 =
  12. 12.55527 ÷ 96 =
  13. 13.351186 ÷ 897 =
  14. 14.22487 ÷ 88 =
  15. 15.1598 ÷ 88 =
  16. 16.3670 ÷ 8 =
  17. 17.19550 ÷ 96 =
  18. 18.459332 ÷ 897 =
  19. 19.7036 ÷ 88 =
  20. 20.942636 ÷ 989 =
  21. 21.874633 ÷ 897 =
  22. 22.92248 ÷ 96 =
  23. 23.12295 ÷ 88 =
  24. 24.2534 ÷ 8 =
  25. 25.771122 ÷ 988 =
  26. 26.125135 ÷ 989 =
  27. 27.96571 ÷ 97 =
  28. 28.25088 ÷ 98 =
  29. 29.229 ÷ 8 =
  30. 30.747583 ÷ 897 =
  31. 31.66691 ÷ 988 =
  32. 32.84039 ÷ 97 =
  33. 33.89112 ÷ 97 =
  34. 34.264070 ÷ 988 =
  35. 35.4491 ÷ 8 =
  36. 36.80235 ÷ 98 =
  37. 37.77424 ÷ 97 =
  38. 38.41453 ÷ 88 =
  39. 39.13827 ÷ 98 =
  40. 40.41214 ÷ 89 =

Answer key

  1. 152 rem 86
  2. 924 rem 26
  3. 203 rem 637
  4. 959 rem 28
  5. 402 rem 590
  6. 554 rem 328
  7. 47 rem 24
  8. 179 rem 31
  9. 647 rem 86
  10. 764 rem 25
  11. 762 rem 6
  12. 578 rem 39
  13. 391 rem 459
  14. 255 rem 47
  15. 18 rem 14
  16. 458 rem 6
  17. 203 rem 62
  18. 512 rem 68
  19. 79 rem 84
  20. 953 rem 119
  21. 975 rem 58
  22. 960 rem 88
  23. 139 rem 63
  24. 316 rem 6
  25. 780 rem 482
  26. 126 rem 521
  27. 995 rem 56
  28. 256 rem 0
  29. 28 rem 5
  30. 833 rem 382
  31. 67 rem 495
  32. 866 rem 37
  33. 918 rem 66
  34. 267 rem 274
  35. 561 rem 3
  36. 818 rem 71
  37. 798 rem 18
  38. 471 rem 5
  39. 141 rem 9
  40. 463 rem 7

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