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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 962 · 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. 1.80465 ÷ 98 =
  2. 2.5208 ÷ 8 =
  3. 3.31856 ÷ 98 =
  4. 4.951508 ÷ 897 =
  5. 5.149774 ÷ 989 =
  6. 6.1617 ÷ 88 =
  7. 7.8478 ÷ 88 =
  8. 8.149191 ÷ 988 =
  9. 9.4973 ÷ 97 =
  10. 10.33298 ÷ 97 =
  11. 11.14945 ÷ 97 =
  12. 12.99106 ÷ 98 =
  13. 13.371727 ÷ 897 =
  14. 14.6771 ÷ 8 =
  15. 15.270935 ÷ 989 =
  16. 16.79739 ÷ 88 =
  17. 17.94849 ÷ 97 =
  18. 18.57961 ÷ 98 =
  19. 19.63989 ÷ 998 =
  20. 20.52659 ÷ 97 =
  21. 21.443 ÷ 8 =
  22. 22.13140 ÷ 96 =
  23. 23.431323 ÷ 997 =
  24. 24.674648 ÷ 988 =
  25. 25.42378 ÷ 97 =
  26. 26.467258 ÷ 988 =
  27. 27.1253 ÷ 8 =
  28. 28.92426 ÷ 96 =
  29. 29.51114 ÷ 989 =
  30. 30.9197 ÷ 8 =
  31. 31.38702 ÷ 998 =
  32. 32.332798 ÷ 897 =
  33. 33.289584 ÷ 997 =
  34. 34.704378 ÷ 998 =
  35. 35.75854 ÷ 89 =
  36. 36.22968 ÷ 89 =
  37. 37.9732 ÷ 8 =
  38. 38.587095 ÷ 998 =
  39. 39.926293 ÷ 988 =
  40. 40.888631 ÷ 988 =

Answer key

  1. 821 rem 7
  2. 651 rem 0
  3. 325 rem 6
  4. 1060 rem 688
  5. 151 rem 435
  6. 18 rem 33
  7. 96 rem 30
  8. 151 rem 3
  9. 51 rem 26
  10. 343 rem 27
  11. 154 rem 7
  12. 1011 rem 28
  13. 414 rem 369
  14. 846 rem 3
  15. 273 rem 938
  16. 906 rem 11
  17. 977 rem 80
  18. 591 rem 43
  19. 64 rem 117
  20. 542 rem 85
  21. 55 rem 3
  22. 136 rem 84
  23. 432 rem 619
  24. 682 rem 832
  25. 436 rem 86
  26. 472 rem 922
  27. 156 rem 5
  28. 962 rem 74
  29. 51 rem 675
  30. 1149 rem 5
  31. 38 rem 778
  32. 371 rem 11
  33. 290 rem 454
  34. 705 rem 788
  35. 852 rem 26
  36. 258 rem 6
  37. 1216 rem 4
  38. 588 rem 271
  39. 937 rem 537
  40. 899 rem 419

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