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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 738 · 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. 1.347764 ÷ 998 =
  2. 2.256129 ÷ 998 =
  3. 3.812279 ÷ 988 =
  4. 4.968776 ÷ 997 =
  5. 5.177535 ÷ 897 =
  6. 6.89726 ÷ 98 =
  7. 7.89216 ÷ 998 =
  8. 8.23541 ÷ 98 =
  9. 9.734118 ÷ 989 =
  10. 10.664 ÷ 8 =
  11. 11.638688 ÷ 998 =
  12. 12.1196 ÷ 8 =
  13. 13.1129 ÷ 8 =
  14. 14.66629 ÷ 998 =
  15. 15.15250 ÷ 88 =
  16. 16.138759 ÷ 997 =
  17. 17.315625 ÷ 997 =
  18. 18.292261 ÷ 998 =
  19. 19.6614 ÷ 8 =
  20. 20.92790 ÷ 96 =
  21. 21.556958 ÷ 998 =
  22. 22.917964 ÷ 997 =
  23. 23.607760 ÷ 988 =
  24. 24.646214 ÷ 988 =
  25. 25.247973 ÷ 997 =
  26. 26.99711 ÷ 89 =
  27. 27.182033 ÷ 989 =
  28. 28.328222 ÷ 998 =
  29. 29.55138 ÷ 96 =
  30. 30.742791 ÷ 997 =
  31. 31.972493 ÷ 897 =
  32. 32.9922 ÷ 8 =
  33. 33.97636 ÷ 96 =
  34. 34.935642 ÷ 998 =
  35. 35.525 ÷ 8 =
  36. 36.18398 ÷ 88 =
  37. 37.1512 ÷ 98 =
  38. 38.78670 ÷ 97 =
  39. 39.456351 ÷ 897 =
  40. 40.89683 ÷ 97 =

Answer key

  1. 348 rem 460
  2. 256 rem 641
  3. 822 rem 143
  4. 971 rem 689
  5. 197 rem 826
  6. 915 rem 56
  7. 89 rem 394
  8. 240 rem 21
  9. 742 rem 280
  10. 83 rem 0
  11. 639 rem 966
  12. 149 rem 4
  13. 141 rem 1
  14. 66 rem 761
  15. 173 rem 26
  16. 139 rem 176
  17. 316 rem 573
  18. 292 rem 845
  19. 826 rem 6
  20. 966 rem 54
  21. 558 rem 74
  22. 920 rem 724
  23. 615 rem 140
  24. 654 rem 62
  25. 248 rem 717
  26. 1120 rem 31
  27. 184 rem 57
  28. 328 rem 878
  29. 574 rem 34
  30. 745 rem 26
  31. 1084 rem 145
  32. 1240 rem 2
  33. 1017 rem 4
  34. 937 rem 516
  35. 65 rem 5
  36. 209 rem 6
  37. 15 rem 42
  38. 811 rem 3
  39. 508 rem 675
  40. 924 rem 55

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