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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 414 · 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. 1.53609 ÷ 89 =
  2. 2.223721 ÷ 998 =
  3. 3.625117 ÷ 997 =
  4. 4.375469 ÷ 897 =
  5. 5.3097 ÷ 8 =
  6. 6.806252 ÷ 998 =
  7. 7.82513 ÷ 88 =
  8. 8.37389 ÷ 98 =
  9. 9.85779 ÷ 97 =
  10. 10.100004 ÷ 989 =
  11. 11.667448 ÷ 998 =
  12. 12.906225 ÷ 988 =
  13. 13.23380 ÷ 98 =
  14. 14.40758 ÷ 89 =
  15. 15.736061 ÷ 989 =
  16. 16.564362 ÷ 989 =
  17. 17.727737 ÷ 997 =
  18. 18.2967 ÷ 8 =
  19. 19.21954 ÷ 98 =
  20. 20.97358 ÷ 96 =
  21. 21.459414 ÷ 897 =
  22. 22.7963 ÷ 97 =
  23. 23.93005 ÷ 989 =
  24. 24.50178 ÷ 96 =
  25. 25.72521 ÷ 97 =
  26. 26.48110 ÷ 98 =
  27. 27.8393 ÷ 8 =
  28. 28.82319 ÷ 88 =
  29. 29.6388 ÷ 8 =
  30. 30.6643 ÷ 8 =
  31. 31.138516 ÷ 997 =
  32. 32.8024 ÷ 89 =
  33. 33.83204 ÷ 97 =
  34. 34.29929 ÷ 97 =
  35. 35.67698 ÷ 88 =
  36. 36.393362 ÷ 989 =
  37. 37.5626 ÷ 8 =
  38. 38.47641 ÷ 88 =
  39. 39.918563 ÷ 988 =
  40. 40.806658 ÷ 988 =

Answer key

  1. 602 rem 31
  2. 224 rem 169
  3. 626 rem 995
  4. 418 rem 523
  5. 387 rem 1
  6. 807 rem 866
  7. 937 rem 57
  8. 381 rem 51
  9. 884 rem 31
  10. 101 rem 115
  11. 668 rem 784
  12. 917 rem 229
  13. 238 rem 56
  14. 457 rem 85
  15. 744 rem 245
  16. 570 rem 632
  17. 729 rem 924
  18. 370 rem 7
  19. 224 rem 2
  20. 1014 rem 14
  21. 512 rem 150
  22. 82 rem 9
  23. 94 rem 39
  24. 522 rem 66
  25. 747 rem 62
  26. 490 rem 90
  27. 1049 rem 1
  28. 935 rem 39
  29. 798 rem 4
  30. 830 rem 3
  31. 138 rem 930
  32. 90 rem 14
  33. 857 rem 75
  34. 308 rem 53
  35. 769 rem 26
  36. 397 rem 729
  37. 703 rem 2
  38. 541 rem 33
  39. 929 rem 711
  40. 816 rem 450

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