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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 344 · 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. 1.754205 ÷ 988 =
  2. 2.4664 ÷ 8 =
  3. 3.79982 ÷ 96 =
  4. 4.402464 ÷ 897 =
  5. 5.135275 ÷ 897 =
  6. 6.53889 ÷ 988 =
  7. 7.877312 ÷ 989 =
  8. 8.72606 ÷ 97 =
  9. 9.435403 ÷ 989 =
  10. 10.5774 ÷ 8 =
  11. 11.914492 ÷ 989 =
  12. 12.559920 ÷ 998 =
  13. 13.954463 ÷ 897 =
  14. 14.3214 ÷ 8 =
  15. 15.29309 ÷ 88 =
  16. 16.567437 ÷ 897 =
  17. 17.1652 ÷ 8 =
  18. 18.49327 ÷ 89 =
  19. 19.7328 ÷ 8 =
  20. 20.62995 ÷ 88 =
  21. 21.90003 ÷ 98 =
  22. 22.38491 ÷ 98 =
  23. 23.57485 ÷ 988 =
  24. 24.57980 ÷ 96 =
  25. 25.38507 ÷ 98 =
  26. 26.10528 ÷ 97 =
  27. 27.43918 ÷ 98 =
  28. 28.616540 ÷ 988 =
  29. 29.53702 ÷ 89 =
  30. 30.34534 ÷ 96 =
  31. 31.91759 ÷ 98 =
  32. 32.793516 ÷ 989 =
  33. 33.15701 ÷ 998 =
  34. 34.801766 ÷ 998 =
  35. 35.619682 ÷ 989 =
  36. 36.923141 ÷ 897 =
  37. 37.357943 ÷ 897 =
  38. 38.65486 ÷ 97 =
  39. 39.58625 ÷ 98 =
  40. 40.2241 ÷ 8 =

Answer key

  1. 763 rem 361
  2. 583 rem 0
  3. 833 rem 14
  4. 448 rem 608
  5. 150 rem 725
  6. 54 rem 537
  7. 887 rem 69
  8. 748 rem 50
  9. 440 rem 243
  10. 721 rem 6
  11. 924 rem 656
  12. 561 rem 42
  13. 1064 rem 55
  14. 401 rem 6
  15. 333 rem 5
  16. 632 rem 533
  17. 206 rem 4
  18. 554 rem 21
  19. 916 rem 0
  20. 715 rem 75
  21. 918 rem 39
  22. 392 rem 75
  23. 58 rem 181
  24. 603 rem 92
  25. 392 rem 91
  26. 108 rem 52
  27. 448 rem 14
  28. 624 rem 28
  29. 603 rem 35
  30. 359 rem 70
  31. 936 rem 31
  32. 802 rem 338
  33. 15 rem 731
  34. 803 rem 372
  35. 626 rem 568
  36. 1029 rem 128
  37. 399 rem 40
  38. 675 rem 11
  39. 598 rem 21
  40. 280 rem 1

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