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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 766 · 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. 1.20011 ÷ 96 =
  2. 2.549076 ÷ 988 =
  3. 3.90917 ÷ 98 =
  4. 4.80480 ÷ 88 =
  5. 5.55034 ÷ 98 =
  6. 6.743690 ÷ 997 =
  7. 7.37400 ÷ 96 =
  8. 8.278460 ÷ 998 =
  9. 9.621818 ÷ 989 =
  10. 10.94235 ÷ 98 =
  11. 11.30698 ÷ 89 =
  12. 12.626444 ÷ 998 =
  13. 13.62800 ÷ 89 =
  14. 14.7014 ÷ 8 =
  15. 15.7347 ÷ 8 =
  16. 16.11578 ÷ 88 =
  17. 17.761056 ÷ 989 =
  18. 18.741189 ÷ 998 =
  19. 19.24352 ÷ 98 =
  20. 20.87745 ÷ 88 =
  21. 21.91584 ÷ 88 =
  22. 22.328408 ÷ 897 =
  23. 23.78209 ÷ 89 =
  24. 24.861422 ÷ 997 =
  25. 25.178753 ÷ 997 =
  26. 26.87515 ÷ 998 =
  27. 27.233940 ÷ 998 =
  28. 28.43656 ÷ 88 =
  29. 29.94654 ÷ 98 =
  30. 30.5062 ÷ 8 =
  31. 31.246954 ÷ 897 =
  32. 32.131959 ÷ 988 =
  33. 33.7175 ÷ 8 =
  34. 34.37461 ÷ 98 =
  35. 35.969634 ÷ 897 =
  36. 36.63799 ÷ 96 =
  37. 37.11691 ÷ 88 =
  38. 38.27172 ÷ 89 =
  39. 39.22154 ÷ 97 =
  40. 40.153220 ÷ 988 =

Answer key

  1. 208 rem 43
  2. 555 rem 736
  3. 927 rem 71
  4. 914 rem 48
  5. 561 rem 56
  6. 745 rem 925
  7. 389 rem 56
  8. 279 rem 18
  9. 628 rem 726
  10. 961 rem 57
  11. 344 rem 82
  12. 627 rem 698
  13. 705 rem 55
  14. 876 rem 6
  15. 918 rem 3
  16. 131 rem 50
  17. 769 rem 515
  18. 742 rem 673
  19. 248 rem 48
  20. 997 rem 9
  21. 1040 rem 64
  22. 366 rem 106
  23. 878 rem 67
  24. 864 rem 14
  25. 179 rem 290
  26. 87 rem 689
  27. 234 rem 408
  28. 496 rem 8
  29. 965 rem 84
  30. 632 rem 6
  31. 275 rem 279
  32. 133 rem 555
  33. 896 rem 7
  34. 382 rem 25
  35. 1080 rem 874
  36. 664 rem 55
  37. 132 rem 75
  38. 305 rem 27
  39. 228 rem 38
  40. 155 rem 80

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