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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 512 · 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. 1.779869 ÷ 997 =
  2. 2.208759 ÷ 998 =
  3. 3.22624 ÷ 97 =
  4. 4.43322 ÷ 88 =
  5. 5.715294 ÷ 998 =
  6. 6.5465 ÷ 8 =
  7. 7.2707 ÷ 97 =
  8. 8.122341 ÷ 988 =
  9. 9.258843 ÷ 897 =
  10. 10.437502 ÷ 998 =
  11. 11.1735 ÷ 8 =
  12. 12.198790 ÷ 998 =
  13. 13.3028 ÷ 8 =
  14. 14.48661 ÷ 98 =
  15. 15.736289 ÷ 998 =
  16. 16.443565 ÷ 897 =
  17. 17.522587 ÷ 988 =
  18. 18.560192 ÷ 997 =
  19. 19.86978 ÷ 88 =
  20. 20.7219 ÷ 97 =
  21. 21.20660 ÷ 997 =
  22. 22.44345 ÷ 97 =
  23. 23.55948 ÷ 88 =
  24. 24.766385 ÷ 989 =
  25. 25.1973 ÷ 8 =
  26. 26.576283 ÷ 998 =
  27. 27.610180 ÷ 989 =
  28. 28.54209 ÷ 96 =
  29. 29.3685 ÷ 89 =
  30. 30.769402 ÷ 989 =
  31. 31.2444 ÷ 8 =
  32. 32.22764 ÷ 89 =
  33. 33.296464 ÷ 989 =
  34. 34.25366 ÷ 89 =
  35. 35.31611 ÷ 97 =
  36. 36.325289 ÷ 998 =
  37. 37.97527 ÷ 89 =
  38. 38.206324 ÷ 897 =
  39. 39.60140 ÷ 96 =
  40. 40.33099 ÷ 97 =

Answer key

  1. 782 rem 215
  2. 209 rem 177
  3. 233 rem 23
  4. 492 rem 26
  5. 716 rem 726
  6. 683 rem 1
  7. 27 rem 88
  8. 123 rem 817
  9. 288 rem 507
  10. 438 rem 378
  11. 216 rem 7
  12. 199 rem 188
  13. 378 rem 4
  14. 496 rem 53
  15. 737 rem 763
  16. 494 rem 447
  17. 528 rem 923
  18. 561 rem 875
  19. 988 rem 34
  20. 74 rem 41
  21. 20 rem 720
  22. 457 rem 16
  23. 635 rem 68
  24. 774 rem 899
  25. 246 rem 5
  26. 577 rem 437
  27. 616 rem 956
  28. 564 rem 65
  29. 41 rem 36
  30. 777 rem 949
  31. 305 rem 4
  32. 255 rem 69
  33. 299 rem 753
  34. 285 rem 1
  35. 325 rem 86
  36. 325 rem 939
  37. 1095 rem 72
  38. 230 rem 14
  39. 626 rem 44
  40. 341 rem 22

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