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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 743 · 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. 1.26362 ÷ 96 =
  2. 2.5626 ÷ 8 =
  3. 3.98108 ÷ 98 =
  4. 4.507600 ÷ 997 =
  5. 5.559155 ÷ 997 =
  6. 6.941949 ÷ 897 =
  7. 7.242058 ÷ 989 =
  8. 8.56825 ÷ 98 =
  9. 9.9142 ÷ 8 =
  10. 10.254780 ÷ 989 =
  11. 11.359356 ÷ 989 =
  12. 12.23657 ÷ 97 =
  13. 13.70718 ÷ 96 =
  14. 14.52054 ÷ 88 =
  15. 15.644776 ÷ 998 =
  16. 16.5568 ÷ 8 =
  17. 17.44059 ÷ 97 =
  18. 18.485674 ÷ 989 =
  19. 19.21756 ÷ 97 =
  20. 20.160 ÷ 8 =
  21. 21.35471 ÷ 97 =
  22. 22.816533 ÷ 997 =
  23. 23.579 ÷ 8 =
  24. 24.1083 ÷ 8 =
  25. 25.96810 ÷ 98 =
  26. 26.634299 ÷ 988 =
  27. 27.97411 ÷ 97 =
  28. 28.52620 ÷ 97 =
  29. 29.898867 ÷ 997 =
  30. 30.46669 ÷ 96 =
  31. 31.334847 ÷ 998 =
  32. 32.2454 ÷ 98 =
  33. 33.21742 ÷ 96 =
  34. 34.155935 ÷ 988 =
  35. 35.25855 ÷ 89 =
  36. 36.21716 ÷ 98 =
  37. 37.19654 ÷ 98 =
  38. 38.36960 ÷ 998 =
  39. 39.824150 ÷ 988 =
  40. 40.852057 ÷ 988 =

Answer key

  1. 274 rem 58
  2. 703 rem 2
  3. 1001 rem 10
  4. 509 rem 127
  5. 560 rem 835
  6. 1050 rem 99
  7. 244 rem 742
  8. 579 rem 83
  9. 1142 rem 6
  10. 257 rem 607
  11. 363 rem 349
  12. 243 rem 86
  13. 736 rem 62
  14. 591 rem 46
  15. 646 rem 68
  16. 696 rem 0
  17. 454 rem 21
  18. 491 rem 75
  19. 224 rem 28
  20. 20 rem 0
  21. 365 rem 66
  22. 818 rem 987
  23. 72 rem 3
  24. 135 rem 3
  25. 987 rem 84
  26. 642 rem 3
  27. 1004 rem 23
  28. 542 rem 46
  29. 901 rem 570
  30. 486 rem 13
  31. 335 rem 517
  32. 25 rem 4
  33. 226 rem 46
  34. 157 rem 819
  35. 290 rem 45
  36. 221 rem 58
  37. 200 rem 54
  38. 37 rem 34
  39. 834 rem 158
  40. 862 rem 401

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