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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 197 · 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. 1.685154 ÷ 998 =
  2. 2.51251 ÷ 998 =
  3. 3.178289 ÷ 897 =
  4. 4.722847 ÷ 988 =
  5. 5.95735 ÷ 989 =
  6. 6.74703 ÷ 98 =
  7. 7.812898 ÷ 998 =
  8. 8.2980 ÷ 8 =
  9. 9.69468 ÷ 97 =
  10. 10.93076 ÷ 89 =
  11. 11.597635 ÷ 989 =
  12. 12.11527 ÷ 97 =
  13. 13.14651 ÷ 88 =
  14. 14.482181 ÷ 997 =
  15. 15.945510 ÷ 988 =
  16. 16.755863 ÷ 988 =
  17. 17.11243 ÷ 89 =
  18. 18.383901 ÷ 989 =
  19. 19.7525 ÷ 8 =
  20. 20.85447 ÷ 98 =
  21. 21.86705 ÷ 89 =
  22. 22.15545 ÷ 97 =
  23. 23.42752 ÷ 997 =
  24. 24.47189 ÷ 97 =
  25. 25.574137 ÷ 997 =
  26. 26.9877 ÷ 8 =
  27. 27.2373 ÷ 88 =
  28. 28.2311 ÷ 88 =
  29. 29.47675 ÷ 89 =
  30. 30.35464 ÷ 97 =
  31. 31.80141 ÷ 98 =
  32. 32.249226 ÷ 897 =
  33. 33.10802 ÷ 988 =
  34. 34.54032 ÷ 89 =
  35. 35.5761 ÷ 98 =
  36. 36.25998 ÷ 96 =
  37. 37.94132 ÷ 88 =
  38. 38.12971 ÷ 89 =
  39. 39.128997 ÷ 997 =
  40. 40.4876 ÷ 98 =

Answer key

  1. 686 rem 526
  2. 51 rem 353
  3. 198 rem 683
  4. 731 rem 619
  5. 96 rem 791
  6. 762 rem 27
  7. 814 rem 526
  8. 372 rem 4
  9. 716 rem 16
  10. 1045 rem 71
  11. 604 rem 279
  12. 118 rem 81
  13. 166 rem 43
  14. 483 rem 630
  15. 956 rem 982
  16. 765 rem 43
  17. 126 rem 29
  18. 388 rem 169
  19. 940 rem 5
  20. 871 rem 89
  21. 974 rem 19
  22. 160 rem 25
  23. 42 rem 878
  24. 486 rem 47
  25. 575 rem 862
  26. 1234 rem 5
  27. 26 rem 85
  28. 26 rem 23
  29. 535 rem 60
  30. 365 rem 59
  31. 817 rem 75
  32. 277 rem 757
  33. 10 rem 922
  34. 607 rem 9
  35. 58 rem 77
  36. 270 rem 78
  37. 1069 rem 60
  38. 145 rem 66
  39. 129 rem 384
  40. 49 rem 74

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