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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 311 · 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. 1.14565 ÷ 98 =
  2. 2.199842 ÷ 897 =
  3. 3.55510 ÷ 98 =
  4. 4.7430 ÷ 96 =
  5. 5.60485 ÷ 96 =
  6. 6.28642 ÷ 89 =
  7. 7.56862 ÷ 98 =
  8. 8.324190 ÷ 989 =
  9. 9.96219 ÷ 97 =
  10. 10.7660 ÷ 98 =
  11. 11.889059 ÷ 988 =
  12. 12.15891 ÷ 98 =
  13. 13.611266 ÷ 989 =
  14. 14.98667 ÷ 997 =
  15. 15.485442 ÷ 998 =
  16. 16.42112 ÷ 98 =
  17. 17.22025 ÷ 98 =
  18. 18.95645 ÷ 88 =
  19. 19.85496 ÷ 89 =
  20. 20.240601 ÷ 989 =
  21. 21.78766 ÷ 88 =
  22. 22.63574 ÷ 97 =
  23. 23.125495 ÷ 998 =
  24. 24.6111 ÷ 8 =
  25. 25.273695 ÷ 998 =
  26. 26.17770 ÷ 96 =
  27. 27.1405 ÷ 8 =
  28. 28.11690 ÷ 98 =
  29. 29.190336 ÷ 998 =
  30. 30.27459 ÷ 97 =
  31. 31.4816 ÷ 89 =
  32. 32.255056 ÷ 997 =
  33. 33.18983 ÷ 89 =
  34. 34.525789 ÷ 989 =
  35. 35.97378 ÷ 897 =
  36. 36.15025 ÷ 98 =
  37. 37.875250 ÷ 997 =
  38. 38.75397 ÷ 89 =
  39. 39.745138 ÷ 988 =
  40. 40.725047 ÷ 997 =

Answer key

  1. 148 rem 61
  2. 222 rem 708
  3. 566 rem 42
  4. 77 rem 38
  5. 630 rem 5
  6. 321 rem 73
  7. 580 rem 22
  8. 327 rem 787
  9. 991 rem 92
  10. 78 rem 16
  11. 899 rem 847
  12. 162 rem 15
  13. 618 rem 64
  14. 98 rem 961
  15. 486 rem 414
  16. 429 rem 70
  17. 224 rem 73
  18. 1086 rem 77
  19. 960 rem 56
  20. 243 rem 274
  21. 895 rem 6
  22. 655 rem 39
  23. 125 rem 745
  24. 763 rem 7
  25. 274 rem 243
  26. 185 rem 10
  27. 175 rem 5
  28. 119 rem 28
  29. 190 rem 716
  30. 283 rem 8
  31. 54 rem 10
  32. 255 rem 821
  33. 213 rem 26
  34. 531 rem 630
  35. 108 rem 502
  36. 153 rem 31
  37. 877 rem 881
  38. 847 rem 14
  39. 754 rem 186
  40. 727 rem 228

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